The Weyl representation on the torus

@inproceedings{Rivas1999TheWR,
  title={The Weyl representation on the torus},
  author={Alejandro M. F. Rivas and Alfredo M. Ozorio de Almeida and February},
  year={1999}
}
We construct reflection and translation operators on the Hilbert space corresponding to the torus by projecting them from the plane. These operators are shown to have the same group properties as their analogue on the plane. The decomposition of operators in the basis of reflections corresponds to the Weyl or center representation, conjugate to the chord representation which is based on quantized translations. Thus, the symbol of any operator on the torus is derived as the projection of the… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Commun. Math. Phys

  • A Bouzouina, S Debì, Evre
  • Commun. Math. Phys
  • 1996
Highly Influential
2 Excerpts

Proc. Nat. Acad. Sci

  • J Schwinger
  • Proc. Nat. Acad. Sci
  • 1401
Highly Influential
1 Excerpt

Physics Report

  • M Ozorio De Almeida
  • Physics Report
  • 1998

Physica A

  • D Galetti, A F R De Toledo, Piza
  • Physica A
  • 1995
2 Excerpts

Annals of Physics

  • W K Kaperskovitz, M Peev
  • Annals of Physics
  • 1994

Nonlinearity

  • J P Keating
  • Nonlinearity
  • 1991

Proc. R. Soc. London A

  • M Wilkinson
  • Proc. R. Soc. London A
  • 1984

Soc

  • S Aubry, G André, Ann Israel Phys
  • Soc
  • 1979

Phys. Rev. B

  • D R Hofstadter
  • Phys. Rev. B
  • 1976

Found. of Phys

  • T S Santhanam, A R Tekumalla
  • Found. of Phys
  • 1975
1 Excerpt

Similar Papers

Loading similar papers…